Question: Let F be a secure PRF defined over (K,X,Y), where K = X = Y = {0,1} n . Prove the following statements: F 1

Let F be a secure PRF defined over (K,X,Y), where K = X = Y = {0,1} n .

Prove the following statements:

F 1 (k,x) = F(k,x) || 0 is not a secure PRF.

F 2 (k,(x,y)) = F(k,x) F(k,y) is not a secure PRF.

F 2 (k,x) = F(k,x) x is a secure PRF.

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